GCD of 142, 384, 584, 494 Calculator

Given Input numbers are 142, 384, 584, 494

In the factoring method, we have to find the divisors of all numbers

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (142, 384, 584, 494) = 2.

Given numbers are 142, 384, 584, 494

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 142, 384, 584, 494 is 2.

Given numbers are 142, 384, 584, 494

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(142, 384) = 27264

GCD(142, 384) = ( 142 x 384 ) / 27264

= 142 / 384

= 142

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 142, 384, 584, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 869, 529, 815
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• GCD of 789, 694, 601, 991
• GCD of 238, 487, 587, 533
• GCD of 477, 586, 992, 761

Given numbers are 142, 384, 584, 494
The greatest common divisor of numbers 142, 384, 584, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 384, 584, 494 is 2.

1. What is the GCD of 142, 384, 584, 494?

GCD of given numbers 142, 384, 584, 494 is 2

2. How to calculate the greatest common divisor of 142, 384, 584, 494?

We can find the highest common divisor of 142, 384, 584, 494 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 142, 384, 584, 494 i.e 2.

3. How can I use the GCD of 142, 384, 584, 494Calculator?

Out the numbers 142, 384, 584, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.